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Finding the Fourth Proportional to 137.04, 189.16 and 108.14

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Solution

The fourth proportional to 137.04, 189.16 and 108.14 is: 149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 189.16 = 108.14 : x
  2. Step 2: Convert to fraction form
    137.04/189.16 = 108.14/x
  3. Step 3: Cross multiply
    137.04x = 189.16 × 108.14
  4. Step 4: Simplify right side
    137.04x = 20,455.76
  5. Step 5: Solve for x
    x = 20,455.76/137.04
  6. Step 6: Final answer
    x = 149.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.